Atkin-Lehner |
3+ 19- 47- |
Signs for the Atkin-Lehner involutions |
Class |
125913d |
Isogeny class |
Conductor |
125913 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
409032 |
Modular degree for the optimal curve |
Δ |
-1843245821259 = -1 · 32 · 19 · 476 |
Discriminant |
Eigenvalues |
-2 3+ 3 -5 -1 -2 -1 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-5154,-154978] |
[a1,a2,a3,a4,a6] |
Generators |
[135:1261:1] |
Generators of the group modulo torsion |
j |
-1404928/171 |
j-invariant |
L |
2.5892063796477 |
L(r)(E,1)/r! |
Ω |
0.2798171167614 |
Real period |
R |
4.6266048774866 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999996339521 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
57a1 |
Quadratic twists by: -47 |